2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155072We consider the possibility that a quantum-mechanical off-center effect may be behind the deformed oblate and prolate shapes of nuclei in nuclear physics. In solid state physics, finite off-center displacements result from the mixing of electronic states through their coupling to vibrational (phonon) modes of appropriate symmetries. This is an example of fermion-boson interaction which may materialize in nuclear physics as well in the form of a coupling of nucleons to the pi-meson field. We carry out calculations to substantiate the proposal.7 pages including 1 figure, all pdf formatNuclear TheoryNote on the oblate and prolate deformations in nuclear matter from the viewpoint of the quantum-mechanical off-center effecttext